AN OVERVIEW OF ROUGH SET SEMANTICS FOR MODAL AND QUANTIFIER LOGICS

Author:

LIAU CHURN-JUNG1

Affiliation:

1. Institute of Information Science, Academia Sinica, Taipei, Taiwan, ROC

Abstract

In this paper, we would like to present some logics with semantics based on rough set theory and related notions. These logics are mainly divided into two classes. One is the class of modal logics and the other is that of quantifier logics. For the former, the approximation space is based on a set of possible worlds, whereas in the latter, we consider the set of variable assignments as the universe of approximation. In addition to surveying some well-known results about the links between logics and rough set notions, we also develop some new applied logics inspired by rough set theory.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Reference51 articles.

Cited by 24 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A formal study of a generalized rough set model based on subset approximation structure;International Journal of Approximate Reasoning;2022-01

2. Fuzzy Binary Rough Set;International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems;2020-04

3. Overview of Rough Set Theory;Intelligent Systems Reference Library;2019-09-10

4. Logics of Dominance for Reasoning About Multi-criteria Decisions;Lecture Notes in Computer Science;2019

5. A Simple Modal Logic for Reasoning in Multigranulation Rough Set Model;ACM Transactions on Computational Logic;2018-12-08

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